深圳大学学报（理工版）
深圳大學學報（理工版）
심수대학학보（리공판）
Journal of Shenzhen University(Science & Engineering)
2015年
5期
538-545
,共8页
动力系统%复杂网络%簇同步%时滞%随机扰动%随机牵制控制
動力繫統%複雜網絡%簇同步%時滯%隨機擾動%隨機牽製控製
동력계통%복잡망락%족동보%시체%수궤우동%수궤견제공제
dynamic system%complex network%cluster synchronization%time delay%stochastic perturbation%random pinning control
基于随机牵制控制对同时存在无时滞耦合和时变时滞耦合的复杂网络, 研究有噪声干扰下的均方簇同步问题. 该网络所有耦合均为非线性, 每一簇中节点动力学相同且不同簇节点动力学不同. 通过引入Bernoulli随机变量, 所有控制均以不同概率对该网络实施控制. 根据Lyapunov稳定性理论和随机分析理论得到该网络实现均方簇同步的条件, 并在理论上给出严格证明. 数值实验证明所得理论正确.
基于隨機牽製控製對同時存在無時滯耦閤和時變時滯耦閤的複雜網絡, 研究有譟聲榦擾下的均方簇同步問題. 該網絡所有耦閤均為非線性, 每一簇中節點動力學相同且不同簇節點動力學不同. 通過引入Bernoulli隨機變量, 所有控製均以不同概率對該網絡實施控製. 根據Lyapunov穩定性理論和隨機分析理論得到該網絡實現均方簇同步的條件, 併在理論上給齣嚴格證明. 數值實驗證明所得理論正確.
기우수궤견제공제대동시존재무시체우합화시변시체우합적복잡망락, 연구유조성간우하적균방족동보문제. 해망락소유우합균위비선성, 매일족중절점동역학상동차불동족절점동역학불동. 통과인입Bernoulli수궤변량, 소유공제균이불동개솔대해망락실시공제. 근거Lyapunov은정성이론화수궤분석이론득도해망락실현균방족동보적조건, 병재이론상급출엄격증명. 수치실험증명소득이론정학.
The mean square cluster synchronization is investigated in directed networks with non-identical nodes perturbed by communication noise as well as those with both delay and non-delay coupling. In addition, all node states in coupling processes are nonlinear with equal dynamic for nodes in a cluster but different dynamics for nodes in different clusters. The pinning control method is employed in designing controllers for guaranteeing cluster synchronization. All the controllers are supposed to occur with different probabilities by introducing Bernoulli stochastic variables. Some sufficient mean square synchronization conditions are derived and proved theoretically based on the Lyapunov stability theorem and the stochastic analysis theory. The theoretical results are verified by a numerical simulation.
